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Simplifying (x + -8)(x + -8) = x2 + -8x + -8x + 64 Reorder the terms: (-8 + x)(x + -8) = x2 + -8x + -8x + 64 Reorder the terms: (-8 + x)(-8 + x) = x2 + -8x + -8x + 64 Multiply (-8 + x) * (-8 + x) (-8(-8 + x) + x(-8 + x)) = x2 + -8x + -8x + 64 ((-8 * -8 + x * -8) + x(-8 + x)) = x2 + -8x + -8x + 64 ((64 + -8x) + x(-8 + x)) = x2 + -8x + -8x + 64 (64 + -8x + (-8 * x + x * x)) = x2 + -8x + -8x + 64 (64 + -8x + (-8x + x2)) = x2 + -8x + -8x + 64 Combine like terms: -8x + -8x = -16x (64 + -16x + x2) = x2 + -8x + -8x + 64 Reorder the terms: 64 + -16x + x2 = 64 + -8x + -8x + x2 Combine like terms: -8x + -8x = -16x 64 + -16x + x2 = 64 + -16x + x2 Add '-64' to each side of the equation. 64 + -16x + -64 + x2 = 64 + -16x + -64 + x2 Reorder the terms: 64 + -64 + -16x + x2 = 64 + -16x + -64 + x2 Combine like terms: 64 + -64 = 0 0 + -16x + x2 = 64 + -16x + -64 + x2 -16x + x2 = 64 + -16x + -64 + x2 Reorder the terms: -16x + x2 = 64 + -64 + -16x + x2 Combine like terms: 64 + -64 = 0 -16x + x2 = 0 + -16x + x2 -16x + x2 = -16x + x2 Add '16x' to each side of the equation. -16x + 16x + x2 = -16x + 16x + x2 Combine like terms: -16x + 16x = 0 0 + x2 = -16x + 16x + x2 x2 = -16x + 16x + x2 Combine like terms: -16x + 16x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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